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100123045704 = 23341119497207
BaseRepresentation
bin101110100111111001…
…1000110111101001000
3100120102202011201020000
41131033303012331020
53120022444430304
6113555040203000
710143066563223
oct1351763067510
9316382151200
10100123045704
1139509938170
12174a3009460
139598161a56
144bbb5305ba
15290ee42939
hex174fcc6f48

100123045704 has 160 divisors (see below), whose sum is σ = 306130968000. Its totient is φ = 30320542080.

The previous prime is 100123045703. The next prime is 100123045709. The reversal of 100123045704 is 407540321001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100123045703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13888869 + ... + 13896075.

It is an arithmetic number, because the mean of its divisors is an integer number (1913318550).

Almost surely, 2100123045704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100123045704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153065484000).

100123045704 is an abundant number, since it is smaller than the sum of its proper divisors (206007922296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100123045704 is a wasteful number, since it uses less digits than its factorization.

100123045704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 100123045704 its reverse (407540321001), we get a palindrome (507663366705).

The spelling of 100123045704 in words is "one hundred billion, one hundred twenty-three million, forty-five thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 1949 2376 3564 3898 5847 7128 7207 7796 11694 14414 15592 17541 21439 21621 23388 28828 35082 42878 43242 46776 52623 57656 64317 64863 70164 79277 85756 86484 105246 128634 129726 140328 157869 158554 171512 172968 192951 194589 210492 237831 257268 259452 315738 317108 385902 389178 420984 475662 514536 518904 578853 583767 631476 634216 713493 771804 778356 951324 1157706 1167534 1262952 1426986 1543608 1556712 1736559 1902648 2140479 2315412 2335068 2853972 3473118 4280958 4630824 4670136 5707944 6421437 6946236 8561916 12842874 13892472 14046443 17123832 25685748 28092886 42139329 51371496 56185772 84278658 112371544 126417987 154510873 168557316 252835974 309021746 337114632 379253961 463532619 505671948 618043492 758507922 927065238 1011343896 1137761883 1236086984 1390597857 1517015844 1854130476 2275523766 2781195714 3034031688 3708260952 4171793571 4551047532 5562391428 8343587142 9102095064 11124782856 12515380713 16687174284 25030761426 33374348568 50061522852 100123045704